Fact 1: Ayesha said, "Hamza and I both have cats".Fact 2: Hamza said, "I don't have a cat".Fact 3: Ayesha always tells the truth, but Hamza sometimes lies.This statement is a fact. Since Fact 2 states that Hamza said, "I don't have a cat," and we know that Hamza sometimes lies, it follows that he is indeed lying in this case. If the above three statements are facts, then which of the following statements will also be a factI. Ayesha has a catII. Hamza has a catIII. Hamza is lyingIV. All the statement are facts.
Correct answer: D. Statement 4
- A. Only I
- B. Only II
- C. Only III
- D. Statement 4
Explanation
Based on fact 3, since Ayesha does not lie, Ayesha's statement in fact 1 must be true. This means that Ayesha and Hamza both do have a cat. Hence statements I and II are deemed correct. Moreover, since Hamza does have a cat, while stating fact 2, he must be lying hence, statement III is also correct and therefore, statement 4 is correct.
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About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
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